29882 ÷ 7 = 4268 R6
Alright, let's work through the division of 29882 by 7 step by step.

Step 1:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 2:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 29 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 7

Step 3:
7 goes into 18 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 42
Subtract 14 from 18 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 4:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 426
Subtract 42 from 48 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 5:
7 goes into 62 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 4268
Subtract 56 from 62 to get 6.

The final result is 4268 with a remainder of 6.